1337841535801 has 9 divisors (see below), whose sum is σ = 1371316286959. Its totient is φ = 1305164988400.

The previous prime is 1337841535781. The next prime is 1337841535819. The reversal of 1337841535801 is 1085351487331.

The square root of 1337841535801 is 1156651.

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., 64464702201 + 1273376833600 = 253899^2 + 1128440^2 .

It is not a de Polignac number, because 1337841535801 - 2⁷ = 1337841535673 is a prime.

It is a super-6 number, since 6×1337841535801⁶ (a number of 74 digits) contains 666666 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1337841535301) 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, 47408586 + ... + 47436796.

Almost surely, 2^{1337841535801} is an apocalyptic number.

1337841535801 is the 1156651-st square number.

1337841535801 is the 578326-th centered octagonal number.

It is an amenable number.

1337841535801 is a deficient number, since it is larger than the sum of its proper divisors (33474751158).

1337841535801 is an frugal number, since it uses more digits than its factorization.

1337841535801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56504 (or 28252 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 1337841535801 by its sum of digits (49), we get a square (65554235254249 = 8096557²).

The spelling of 1337841535801 in words is "one trillion, three hundred thirty-seven billion, eight hundred forty-one million, five hundred thirty-five thousand, eight hundred one".