1036427838601 has 9 divisors (see below), whose sum is σ = 1038528251271. Its totient is φ = 1034331671592.

The previous prime is 1036427838583. The next prime is 1036427838709. The reversal of 1036427838601 is 1068387246301.

The square root of 1036427838601 is 1018051.

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., 782738325625 + 253689512976 = 884725^2 + 503676^2 .

It is not a de Polignac number, because 1036427838601 - 2¹¹ = 1036427836553 is a prime.

It is a super-3 number, since 3×1036427838601³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1036427830601) 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, 837855355 + ... + 837856591.

It is an arithmetic number, because the mean of its divisors is an integer number (115392027919).

Almost surely, 2^{1036427838601} is an apocalyptic number.

1036427838601 is the 1018051-st square number.

1036427838601 is the 509026-th centered octagonal number.

It is an amenable number.

1036427838601 is a deficient number, since it is larger than the sum of its proper divisors (2100412670).

1036427838601 is an frugal number, since it uses more digits than its factorization.

1036427838601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 1036427838601 by its sum of digits (49), we get a square (50784964091449 = 7126357²).

The spelling of 1036427838601 in words is "one trillion, thirty-six billion, four hundred twenty-seven million, eight hundred thirty-eight thousand, six hundred one".