2521267723553 has 2 divisors, whose sum is σ = 2521267723554. Its totient is φ = 2521267723552.

The previous prime is 2521267723489. The next prime is 2521267723577. The reversal of 2521267723553 is 3553277621252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2427513570304 + 93754153249 = 1558048^2 + 306193^2 .

It is a cyclic number.

It is not a de Polignac number, because 2521267723553 - 2⁶ = 2521267723489 is a prime.

It is not a weakly prime, because it can be changed into another prime (2521267720553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1260633861776 + 1260633861777.

It is an arithmetic number, because the mean of its divisors is an integer number (1260633861777).

Almost surely, 2^{2521267723553} is an apocalyptic number.

It is an amenable number.

2521267723553 is a deficient number, since it is larger than the sum of its proper divisors (1).

2521267723553 is an equidigital number, since it uses as much as digits as its factorization.

2521267723553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292000, while the sum is 50.

The spelling of 2521267723553 in words is "two trillion, five hundred twenty-one billion, two hundred sixty-seven million, seven hundred twenty-three thousand, five hundred fifty-three".