1037719129225 has 27 divisors (see below), whose sum is σ = 1358187673383. Its totient is φ = 786408521040.

The previous prime is 1037719129159. The next prime is 1037719129243. The reversal of 1037719129225 is 5229219177301.

The square root of 1037719129225 is 1018685.

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., 373578886521 + 664140242704 = 611211^2 + 814948^2 .

It is not a de Polignac number, because 1037719129225 - 2¹⁵ = 1037719096457 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96769714 + ... + 96780436.

Almost surely, 2^{1037719129225} is an apocalyptic number.

1037719129225 is the 1018685-th square number.

1037719129225 is the 509343-rd centered octagonal number.

It is an amenable number.

1037719129225 is a deficient number, since it is larger than the sum of its proper divisors (320468544158).

1037719129225 is an frugal number, since it uses more digits than its factorization.

1037719129225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21494 (or 10747 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 49.

Multiplying 1037719129225 by its sum of digits (49), we get a square (50848237332025 = 7130795²).

The spelling of 1037719129225 in words is "one trillion, thirty-seven billion, seven hundred nineteen million, one hundred twenty-nine thousand, two hundred twenty-five".