15253611152 has 80 divisors (see below), whose sum is σ = 32520262320. Its totient is φ = 6887602176.

The previous prime is 15253611143. The next prime is 15253611161. The reversal of 15253611152 is 25111635251.

It is an interprime number because it is at equal distance from previous prime (15253611143) and next prime (15253611161).

It can be written as a sum of positive squares in 8 ways, for example, as 2695271056 + 12558340096 = 51916^2 + 112064^2 .

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, 4286558 + ... + 4290114.

It is an arithmetic number, because the mean of its divisors is an integer number (406503279).

Almost surely, 2^15253611152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15253611152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16260131160).

15253611152 is an abundant number, since it is smaller than the sum of its proper divisors (17266651168).

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

15253611152 is a wasteful number, since it uses less digits than its factorization.

15253611152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 4014 counting only the distinct ones).

The product of its digits is 9000, while the sum is 32.

The spelling of 15253611152 in words is "fifteen billion, two hundred fifty-three million, six hundred eleven thousand, one hundred fifty-two".