2533057461 has 128 divisors (see below), whose sum is σ = 4478976000. Its totient is φ = 1399507200.

The previous prime is 2533057421. The next prime is 2533057487. The reversal of 2533057461 is 1647503352.

2533057461 is a `hidden beast` number, since 2 + 53 + 30 + 574 + 6 + 1 = 666.

It is not a de Polignac number, because 2533057461 - 2⁹ = 2533056949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2533057421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14151070 + ... + 14151248.

It is an arithmetic number, because the mean of its divisors is an integer number (34992000).

Almost surely, 2^2533057461 is an apocalyptic number.

It is an amenable number.

2533057461 is a deficient number, since it is larger than the sum of its proper divisors (1945918539).

2533057461 is a wasteful number, since it uses less digits than its factorization.

2533057461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2533057461 is about 50329.4889801198. The cubic root of 2533057461 is about 1363.1647501222.

The spelling of 2533057461 in words is "two billion, five hundred thirty-three million, fifty-seven thousand, four hundred sixty-one".