3753631130041 has 9 divisors (see below), whose sum is σ = 4064610094509. Its totient is φ = 3464867024736.

The previous prime is 3753631130023. The next prime is 3753631130047. The reversal of 3753631130041 is 1400311363573.

The square root of 3753631130041 is 1937429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1470449689641 + 2283181440400 = 1212621^2 + 1511020^2 .

It is not a de Polignac number, because 3753631130041 - 2²³ = 3753622741433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3753631130047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25112061 + ... + 25261093.

Almost surely, 2^{3753631130041} is an apocalyptic number.

3753631130041 is the 1937429-th square number.

3753631130041 is the 968715-th centered octagonal number.

It is an amenable number.

3753631130041 is a deficient number, since it is larger than the sum of its proper divisors (310978964468).

3753631130041 is an frugal number, since it uses more digits than its factorization.

3753631130041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298092 (or 149046 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 3753631130041 in words is "three trillion, seven hundred fifty-three billion, six hundred thirty-one million, one hundred thirty thousand, forty-one".