2552020003961 has 2 divisors, whose sum is σ = 2552020003962. Its totient is φ = 2552020003960.

The previous prime is 2552020003913. The next prime is 2552020003987. The reversal of 2552020003961 is 1693000202552.

2552020003961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2467001107561 + 85018896400 = 1570669^2 + 291580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2552020003961 is a prime.

It is a super-2 number, since 2×2552020003961² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2552020003901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276010001980 + 1276010001981.

It is an arithmetic number, because the mean of its divisors is an integer number (1276010001981).

Almost surely, 2^{2552020003961} is an apocalyptic number.

It is an amenable number.

2552020003961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2552020003961 is an equidigital number, since it uses as much as digits as its factorization.

2552020003961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 2552020003961 in words is "two trillion, five hundred fifty-two billion, twenty million, three thousand, nine hundred sixty-one".