61051056001 has 24 divisors (see below), whose sum is σ = 67678777656. Its totient is φ = 54740774400.

The previous prime is 61051055981. The next prime is 61051056007. The reversal of 61051056001 is 10065015016.

It can be written as a sum of positive squares in 12 ways, for example, as 3047150401 + 58003905600 = 55201^2 + 240840^2 .

It is not a de Polignac number, because 61051056001 - 2⁹ = 61051055489 is a prime.

It is a super-2 number, since 2×61051056001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61051056007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3679941 + ... + 3696493.

It is an arithmetic number, because the mean of its divisors is an integer number (2819949069).

Almost surely, 2^61051056001 is an apocalyptic number.

It is an amenable number.

61051056001 is a deficient number, since it is larger than the sum of its proper divisors (6627721655).

61051056001 is a wasteful number, since it uses less digits than its factorization.

61051056001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16773 (or 16720 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 61051056001 in words is "sixty-one billion, fifty-one million, fifty-six thousand, one".