3415252541261 has 32 divisors (see below), whose sum is σ = 3865744310400. Its totient is φ = 2988746548480.

The previous prime is 3415252541221. The next prime is 3415252541279. The reversal of 3415252541261 is 1621452525143.

It is a happy number.

It is not a de Polignac number, because 3415252541261 - 2²⁶ = 3415185432397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3415252541201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250874891 + ... + 250888503.

It is an arithmetic number, because the mean of its divisors is an integer number (120804509700).

Almost surely, 2^{3415252541261} is an apocalyptic number.

It is an amenable number.

3415252541261 is a deficient number, since it is larger than the sum of its proper divisors (450491769139).

3415252541261 is a wasteful number, since it uses less digits than its factorization.

3415252541261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15949.

The product of its digits is 288000, while the sum is 41.

The spelling of 3415252541261 in words is "three trillion, four hundred fifteen billion, two hundred fifty-two million, five hundred forty-one thousand, two hundred sixty-one".