29475115951801 has 9 divisors (see below), whose sum is σ = 31916917958799. Its totient is φ = 27207734190936.

The previous prime is 29475115951769. The next prime is 29475115951829. The reversal of 29475115951801 is 10815951157492.

The square root of 29475115951801 is 5429099.

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

It can be written as a sum of positive squares in only one way, i.e., 4360224253225 + 25114891698576 = 2088115^2 + 5011476^2 .

It is not a de Polignac number, because 29475115951801 - 2⁵ = 29475115951769 is a prime.

It is a super-2 number, since 2×29475115951801² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29475115951861) 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, 70369476 + ... + 70787098.

Almost surely, 2^{29475115951801} is an apocalyptic number.

29475115951801 is the 5429099-th square number.

29475115951801 is the 2714550-th centered octagonal number.

It is an amenable number.

29475115951801 is a deficient number, since it is larger than the sum of its proper divisors (2441802006998).

29475115951801 is an frugal number, since it uses more digits than its factorization.

29475115951801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835272 (or 417636 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 58.

The spelling of 29475115951801 in words is "twenty-nine trillion, four hundred seventy-five billion, one hundred fifteen million, nine hundred fifty-one thousand, eight hundred one".