1512371952 has 640 divisors, whose sum is σ = 5919621120. Its totient is φ = 358318080.

The previous prime is 1512371933. The next prime is 1512371977. The reversal of 1512371952 is 2591732151.

1512371952 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20717388 + ... + 20717460.

It is an arithmetic number, because the mean of its divisors is an integer number (9249408).

Almost surely, 2^1512371952 is an apocalyptic number.

1512371952 is a gapful number since it is divisible by the number (12) 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 1512371952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959810560).

1512371952 is an abundant number, since it is smaller than the sum of its proper divisors (4407249168).

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

1512371952 is a wasteful number, since it uses less digits than its factorization.

1512371952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 1512371952 is about 38889.2266829774. The cubic root of 1512371952 is about 1147.8528181612.

The spelling of 1512371952 in words is "one billion, five hundred twelve million, three hundred seventy-one thousand, nine hundred fifty-two".