9405251901 has 20 divisors (see below), whose sum is σ = 14111201500. Its totient is φ = 6242774976.

The previous prime is 9405251881. The next prime is 9405251917. The reversal of 9405251901 is 1091525049.

9405251901 is a `hidden beast` number, since 9 + 40 + 525 + 1 + 90 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3533708025 + 5871543876 = 59445^2 + 76626^2 .

It is not a de Polignac number, because 9405251901 - 2¹⁴ = 9405235517 is a prime.

It is a super-2 number, since 2×9405251901² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9405251951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 234976 + ... + 272073.

It is an arithmetic number, because the mean of its divisors is an integer number (705560075).

Almost surely, 2^9405251901 is an apocalyptic number.

It is an amenable number.

9405251901 is a deficient number, since it is larger than the sum of its proper divisors (4705949599).

9405251901 is a wasteful number, since it uses less digits than its factorization.

9405251901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507290 (or 507281 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 9405251901 is about 96980.6779776260. The cubic root of 9405251901 is about 2110.8472673065.

The spelling of 9405251901 in words is "nine billion, four hundred five million, two hundred fifty-one thousand, nine hundred one".