1509252864 has 144 divisors (see below), whose sum is σ = 4608909312. Its totient is φ = 429502464.

The previous prime is 1509252851. The next prime is 1509252889. The reversal of 1509252864 is 4682529051.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2058642 + ... + 2059374.

Almost surely, 2^1509252864 is an apocalyptic number.

1509252864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1509252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304454656).

1509252864 is an abundant number, since it is smaller than the sum of its proper divisors (3099656448).

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

1509252864 is an equidigital number, since it uses as much as digits as its factorization.

1509252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1509252864 is about 38849.1037734463. The cubic root of 1509252864 is about 1147.0631715725.

The spelling of 1509252864 in words is "one billion, five hundred nine million, two hundred fifty-two thousand, eight hundred sixty-four".