1064654576041 has 27 divisors (see below), whose sum is σ = 1245939265143. Its totient is φ = 907094477520.

The previous prime is 1064654576033. The next prime is 1064654576047. The reversal of 1064654576041 is 1406754564601.

The square root of 1064654576041 is 1031821.

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., 845349686041 + 219304890000 = 919429^2 + 468300^2 .

It is not a de Polignac number, because 1064654576041 - 2³ = 1064654576033 is a prime.

It is a super-2 number, since 2×1064654576041² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1064654576047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1610672251 + ... + 1610672911.

It is an arithmetic number, because the mean of its divisors is an integer number (46145898709).

Almost surely, 2^{1064654576041} is an apocalyptic number.

1064654576041 is the 1031821-st square number.

1064654576041 is the 515911-st centered octagonal number.

It is an amenable number.

1064654576041 is a deficient number, since it is larger than the sum of its proper divisors (181284689102).

1064654576041 is an frugal number, since it uses more digits than its factorization.

1064654576041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 1064654576041 by its sum of digits (49), we get a square (52168074226009 = 7222747²).

1064654576041 divided by its sum of digits (49) gives a square (21727644409 = 147403²).

The spelling of 1064654576041 in words is "one trillion, sixty-four billion, six hundred fifty-four million, five hundred seventy-six thousand, forty-one".