2251313623 has 16 divisors (see below), whose sum is σ = 2532096000. Its totient is φ = 1986060384.

The previous prime is 2251313599. The next prime is 2251313683. The reversal of 2251313623 is 3263131522.

It is a cyclic number.

It is not a de Polignac number, because 2251313623 - 2¹³ = 2251305431 is a prime.

It is a super-2 number, since 2×2251313623² = 10136826058210772258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2251313591 and 2251313600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251313683) 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, 445690 + ... + 450712.

It is an arithmetic number, because the mean of its divisors is an integer number (158256000).

Almost surely, 2^2251313623 is an apocalyptic number.

2251313623 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2251313623 is a deficient number, since it is larger than the sum of its proper divisors (280782377).

2251313623 is a wasteful number, since it uses less digits than its factorization.

2251313623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558.

The product of its digits is 6480, while the sum is 28.

The square root of 2251313623 is about 47448.0096842850. The cubic root of 2251313623 is about 1310.6256598015.

The spelling of 2251313623 in words is "two billion, two hundred fifty-one million, three hundred thirteen thousand, six hundred twenty-three".