2505457973 has 2 divisors, whose sum is σ = 2505457974. Its totient is φ = 2505457972.

The previous prime is 2505457961. The next prime is 2505457979. The reversal of 2505457973 is 3797545052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2066429764 + 439028209 = 45458^2 + 20953^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505457973 - 2²⁴ = 2488680757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505457979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252728986 + 1252728987.

It is an arithmetic number, because the mean of its divisors is an integer number (1252728987).

Almost surely, 2^2505457973 is an apocalyptic number.

It is an amenable number.

2505457973 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505457973 is an equidigital number, since it uses as much as digits as its factorization.

2505457973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1323000, while the sum is 47.

The square root of 2505457973 is about 50054.5499730045. The cubic root of 2505457973 is about 1358.1957716071.

The spelling of 2505457973 in words is "two billion, five hundred five million, four hundred fifty-seven thousand, nine hundred seventy-three".