2500212521331 has 48 divisors (see below), whose sum is σ = 4280466048768. Its totient is φ = 1428603804000.

The previous prime is 2500212521269. The next prime is 2500212521347. The reversal of 2500212521331 is 1331252120052.

2500212521331 is a `hidden beast` number, since 2 + 500 + 2 + 1 + 25 + 2 + 133 + 1 = 666.

It is not a de Polignac number, because 2500212521331 - 2³⁴ = 2483032652147 is a prime.

It is a super-2 number, since 2×2500212521331² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2500212521295 and 2500212521304.

It is not an unprimeable number, because it can be changed into a prime (2500212521351) 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 47 ways as a sum of consecutive naturals, for example, 35227981 + ... + 35298881.

It is an arithmetic number, because the mean of its divisors is an integer number (89176376016).

Almost surely, 2^{2500212521331} is an apocalyptic number.

2500212521331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2500212521331 is a deficient number, since it is larger than the sum of its proper divisors (1780253527437).

2500212521331 is an equidigital number, since it uses as much as digits as its factorization.

2500212521331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91654 (or 91642 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 2500212521331 its reverse (1331252120052), we get a palindrome (3831464641383).

The spelling of 2500212521331 in words is "two trillion, five hundred billion, two hundred twelve million, five hundred twenty-one thousand, three hundred thirty-one".