1532252736 has 189 divisors, whose sum is σ = 5130995961. Its totient is φ = 435907584.

The previous prime is 1532252731. The next prime is 1532252749. The reversal of 1532252736 is 6372522351.

The square root of 1532252736 is 39144.

It is a perfect power (a square), and thus also a powerful number.

1532252736 is a `hidden beast` number, since 1 + 532 + 2 + 52 + 73 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 311169600 + 1221083136 = 17640^2 + 34944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1532252736.

It is not an unprimeable number, because it can be changed into a prime (1532252731) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6576076 + ... + 6576308.

Almost surely, 2^1532252736 is an apocalyptic number.

1532252736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1532252736 is the 39144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1532252736

1532252736 is an abundant number, since it is smaller than the sum of its proper divisors (3598743225).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1532252736 is an equidigital number, since it uses as much as digits as its factorization.

1532252736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 245 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The cubic root of 1532252736 is about 1152.8606126979.

Multiplying 1532252736 by its sum of digits (36), we get a square (55161098496 = 234864²).

1532252736 divided by its sum of digits (36) gives a square (42562576 = 6524²).

It can be divided in two parts, 153225 and 2736, that added together give a triangular number (155961 = T₅₅₈).

The spelling of 1532252736 in words is "one billion, five hundred thirty-two million, two hundred fifty-two thousand, seven hundred thirty-six".