11825513073 has 48 divisors (see below), whose sum is σ = 18827976960. Its totient is φ = 7151796960.

The previous prime is 11825513047. The next prime is 11825513099. The reversal of 11825513073 is 37031552811.

It is a happy number.

11825513073 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 551 + 30 + 73 = 666.

It is an interprime number because it is at equal distance from previous prime (11825513047) and next prime (11825513099).

It is not a de Polignac number, because 11825513073 - 2¹⁸ = 11825250929 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11825513173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8612215 + ... + 8613587.

It is an arithmetic number, because the mean of its divisors is an integer number (392249520).

Almost surely, 2^11825513073 is an apocalyptic number.

It is an amenable number.

11825513073 is a deficient number, since it is larger than the sum of its proper divisors (7002463887).

11825513073 is a wasteful number, since it uses less digits than its factorization.

11825513073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

It can be divided in two parts, 118255 and 13073, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 11825513073 in words is "eleven billion, eight hundred twenty-five million, five hundred thirteen thousand, seventy-three".