10152524070 has 256 divisors, whose sum is σ = 30894151680. Its totient is φ = 2353494528.

The previous prime is 10152524069. The next prime is 10152524071. The reversal of 10152524070 is 7042525101.

10152524070 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 252 + 407 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10152524069) and next prime (10152524071).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152524071) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5407972 + ... + 5409848.

It is an arithmetic number, because the mean of its divisors is an integer number (120680280).

Almost surely, 2^10152524070 is an apocalyptic number.

10152524070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10152524070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15447075840).

10152524070 is an abundant number, since it is smaller than the sum of its proper divisors (20741627610).

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

10152524070 is a wasteful number, since it uses less digits than its factorization.

10152524070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 10152524070 in words is "ten billion, one hundred fifty-two million, five hundred twenty-four thousand, seventy".