5101404959641 has 9 divisors (see below), whose sum is σ = 5271347193813. Its totient is φ = 4936775750460.

The previous prime is 5101404959627. The next prime is 5101404959653. The reversal of 5101404959641 is 1469594041015.

The square root of 5101404959641 is 2258629.

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

It is not a de Polignac number, because 5101404959641 - 2¹³ = 5101404951449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5101404959681) 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, 69981070 + ... + 70053928.

It is an arithmetic number, because the mean of its divisors is an integer number (585705243757).

Almost surely, 2^{5101404959641} is an apocalyptic number.

5101404959641 is the 2258629-th square number.

5101404959641 is the 1129315-th centered octagonal number.

It is an amenable number.

5101404959641 is a deficient number, since it is larger than the sum of its proper divisors (169942234172).

5101404959641 is an frugal number, since it uses more digits than its factorization.

5101404959641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145780 (or 72890 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 5101404959641 by its sum of digits (49), we get a square (249968843022409 = 15810403²).

The spelling of 5101404959641 in words is "five trillion, one hundred one billion, four hundred four million, nine hundred fifty-nine thousand, six hundred forty-one".