2506101241461 has 16 divisors (see below), whose sum is σ = 3449984237568. Its totient is φ = 1616498910000.

The previous prime is 2506101241453. The next prime is 2506101241471. The reversal of 2506101241461 is 1641421016052.

It is not a de Polignac number, because 2506101241461 - 2³ = 2506101241453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506101241421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2394121 + ... + 3277806.

It is an arithmetic number, because the mean of its divisors is an integer number (215624014848).

Almost surely, 2^{2506101241461} is an apocalyptic number.

It is an amenable number.

2506101241461 is a deficient number, since it is larger than the sum of its proper divisors (943882996107).

2506101241461 is a wasteful number, since it uses less digits than its factorization.

2506101241461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676712.

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 2506101241461 in words is "two trillion, five hundred six billion, one hundred one million, two hundred forty-one thousand, four hundred sixty-one".