401510601 has 28 divisors (see below), whose sum is σ = 611926980. Its totient is φ = 263256480.

The previous prime is 401510561. The next prime is 401510611. The reversal of 401510601 is 106015104.

401510601 is a `hidden beast` number, since 40 + 15 + 10 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 228614400 + 172896201 = 15120^2 + 13149^2 .

It is not a de Polignac number, because 401510601 - 2¹¹ = 401508553 is a prime.

It is a super-2 number, since 2×401510601² = 322421525430762402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401510611) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 39955 + ... + 48983.

It is an arithmetic number, because the mean of its divisors is an integer number (21854535).

Almost surely, 2^401510601 is an apocalyptic number.

It is an amenable number.

401510601 is a deficient number, since it is larger than the sum of its proper divisors (210416379).

401510601 is an frugal number, since it uses more digits than its factorization.

401510601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9108 (or 9093 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 401510601 is about 20037.7294372391. The cubic root of 401510601 is about 737.7326515259.

Adding to 401510601 its reverse (106015104), we get a palindrome (507525705).

The spelling of 401510601 in words is "four hundred one million, five hundred ten thousand, six hundred one".