5261191257 has 96 divisors (see below), whose sum is σ = 8901525504. Its totient is φ = 2703715200.

The previous prime is 5261191241. The next prime is 5261191259. The reversal of 5261191257 is 7521911625.

It is not a de Polignac number, because 5261191257 - 2⁴ = 5261191241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5261191259) 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 95 ways as a sum of consecutive naturals, for example, 14335488 + ... + 14335854.

It is an arithmetic number, because the mean of its divisors is an integer number (92724224).

Almost surely, 2^5261191257 is an apocalyptic number.

5261191257 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

5261191257 is a deficient number, since it is larger than the sum of its proper divisors (3640334247).

5261191257 is a wasteful number, since it uses less digits than its factorization.

5261191257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 488 counting only the distinct ones).

The product of its digits is 37800, while the sum is 39.

The square root of 5261191257 is about 72534.0696293818. The cubic root of 5261191257 is about 1739.2474017700.

The spelling of 5261191257 in words is "five billion, two hundred sixty-one million, one hundred ninety-one thousand, two hundred fifty-seven".