1061825141601 has 27 divisors (see below), whose sum is σ = 1784191530771. Its totient is φ = 606744858384.

The previous prime is 1061825141581. The next prime is 1061825141603. The reversal of 1061825141601 is 1061415281601.

The square root of 1061825141601 is 1030449.

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

1061825141601 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 2 + 5 + 1 + 41 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7301531601 + 1054523610000 = 85449^2 + 1026900^2 .

It is not a de Polignac number, because 1061825141601 - 2²³ = 1061816752993 is a prime.

It is a super-2 number, since 2×1061825141601² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061825141603) 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, 21614895 + ... + 21663963.

Almost surely, 2^{1061825141601} is an apocalyptic number.

1061825141601 is the 1030449-th square number.

1061825141601 is the 515225-th centered octagonal number.

It is an amenable number.

1061825141601 is a deficient number, since it is larger than the sum of its proper divisors (722366389170).

1061825141601 is an frugal number, since it uses more digits than its factorization.

1061825141601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98158 (or 49079 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Multiplying 1061825141601 by its sum of digits (36), we get a square (38225705097636 = 6182694²).

The spelling of 1061825141601 in words is "one trillion, sixty-one billion, eight hundred twenty-five million, one hundred forty-one thousand, six hundred one".