2251514205153 has 24 divisors (see below), whose sum is σ = 3284874314280. Its totient is φ = 1485927513600.

The previous prime is 2251514205151. The next prime is 2251514205191. The reversal of 2251514205153 is 3515024151522.

2251514205153 is a `hidden beast` number, since 2 + 2 + 51 + 51 + 42 + 0 + 515 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62688642129 + 2188825563024 = 250377^2 + 1479468^2 .

It is not a de Polignac number, because 2251514205153 - 2¹ = 2251514205151 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2251514205151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6063625 + ... + 6424217.

It is an arithmetic number, because the mean of its divisors is an integer number (136869763095).

Almost surely, 2^{2251514205153} is an apocalyptic number.

It is an amenable number.

2251514205153 is a deficient number, since it is larger than the sum of its proper divisors (1033360109127).

2251514205153 is a wasteful number, since it uses less digits than its factorization.

2251514205153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367569 (or 367566 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 2251514205153 its reverse (3515024151522), we get a palindrome (5766538356675).

The spelling of 2251514205153 in words is "two trillion, two hundred fifty-one billion, five hundred fourteen million, two hundred five thousand, one hundred fifty-three".