2516526201 has 64 divisors (see below), whose sum is σ = 4162461696. Its totient is φ = 1319808000.

The previous prime is 2516526197. The next prime is 2516526227. The reversal of 2516526201 is 1026256152.

It is not a de Polignac number, because 2516526201 - 2² = 2516526197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2516526241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2559556 + ... + 2560538.

It is an arithmetic number, because the mean of its divisors is an integer number (65038464).

Almost surely, 2^2516526201 is an apocalyptic number.

2516526201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2516526201 is a deficient number, since it is larger than the sum of its proper divisors (1645935495).

2516526201 is a wasteful number, since it uses less digits than its factorization.

2516526201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2516526201 is about 50164.9897936798. The cubic root of 2516526201 is about 1360.1928433650.

The spelling of 2516526201 in words is "two billion, five hundred sixteen million, five hundred twenty-six thousand, two hundred one".