2516157 has 16 divisors (see below), whose sum is σ = 4260480. Its totient is φ = 1437696.

The previous prime is 2516123. The next prime is 2516197. The reversal of 2516157 is 7516152.

It is not a de Polignac number, because 2516157 - 2²⁰ = 1467581 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2516157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6468 + ... + 6845.

It is an arithmetic number, because the mean of its divisors is an integer number (266280).

2^2516157 is an apocalyptic number.

2516157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2516157 is a deficient number, since it is larger than the sum of its proper divisors (1744323).

2516157 is a wasteful number, since it uses less digits than its factorization.

2516157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13329 (or 13323 counting only the distinct ones).

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

The square root of 2516157 is about 1586.2398935848. The cubic root of 2516157 is about 136.0126321888.

The spelling of 2516157 in words is "two million, five hundred sixteen thousand, one hundred fifty-seven".