1521964152 has 192 divisors, whose sum is σ = 4380255360. Its totient is φ = 476928000.

The previous prime is 1521964133. The next prime is 1521964159. The reversal of 1521964152 is 2514691251.

1521964152 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 9 + 641 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1521964159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15068902 + ... + 15069002.

It is an arithmetic number, because the mean of its divisors is an integer number (22813830).

Almost surely, 2^1521964152 is an apocalyptic number.

1521964152 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 1521964152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190127680).

1521964152 is an abundant number, since it is smaller than the sum of its proper divisors (2858291208).

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

1521964152 is a wasteful number, since it uses less digits than its factorization.

1521964152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1521964152 is about 39012.3589648204. The cubic root of 1521964152 is about 1150.2744529578.

The spelling of 1521964152 in words is "one billion, five hundred twenty-one million, nine hundred sixty-four thousand, one hundred fifty-two".