2506101057 has 24 divisors (see below), whose sum is σ = 3722220840. Its totient is φ = 1623628800.

The previous prime is 2506101041. The next prime is 2506101061. The reversal of 2506101057 is 7501016052.

2506101057 is a `hidden beast` number, since 2 + 506 + 101 + 0 + 57 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 987907761 + 1518193296 = 31431^2 + 38964^2 .

It is not a de Polignac number, because 2506101057 - 2⁴ = 2506101041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2506101057.

It is not an unprimeable number, because it can be changed into a prime (2506105057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305307 + ... + 313407.

It is an arithmetic number, because the mean of its divisors is an integer number (155092535).

Almost surely, 2^2506101057 is an apocalyptic number.

It is an amenable number.

2506101057 is a deficient number, since it is larger than the sum of its proper divisors (1216119783).

2506101057 is a wasteful number, since it uses less digits than its factorization.

2506101057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9073 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 2506101057 is about 50060.9733924541. The cubic root of 2506101057 is about 1358.3119658333.

The spelling of 2506101057 in words is "two billion, five hundred six million, one hundred one thousand, fifty-seven".