516957051 has 16 divisors (see below), whose sum is σ = 759562496. Its totient is φ = 310728096.

The previous prime is 516957041. The next prime is 516957061. The reversal of 516957051 is 150759615.

It is an interprime number because it is at equal distance from previous prime (516957041) and next prime (516957061).

It is not a de Polignac number, because 516957051 - 2¹⁸ = 516694907 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516957011) 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, 152455 + ... + 155808.

It is an arithmetic number, because the mean of its divisors is an integer number (47472656).

Almost surely, 2^516957051 is an apocalyptic number.

516957051 is a deficient number, since it is larger than the sum of its proper divisors (242605445).

516957051 is a wasteful number, since it uses less digits than its factorization.

516957051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308322.

The product of its (nonzero) digits is 47250, while the sum is 39.

The square root of 516957051 is about 22736.6895347586. The cubic root of 516957051 is about 802.5735098276.

The spelling of 516957051 in words is "five hundred sixteen million, nine hundred fifty-seven thousand, fifty-one".