39375763050121 has 27 divisors (see below), whose sum is σ = 40052647770933. Its totient is φ = 38710291858560.

The previous prime is 39375763050073. The next prime is 39375763050223. The reversal of 39375763050121 is 12105036757393.

The square root of 39375763050121 is 6275011.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2750705175625 + 36625057874496 = 1658525^2 + 6051864^2 .

It is a de Polignac number, because none of the positive numbers 2^k-39375763050121 is a prime.

It is a super-2 number, since 2×39375763050121² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39375763050821) 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, 140127270501 + ... + 140127270781.

Almost surely, 2^{39375763050121} is an apocalyptic number.

39375763050121 is the 6275011-st square number.

39375763050121 is the 3137506-th centered octagonal number.

It is an amenable number.

39375763050121 is a deficient number, since it is larger than the sum of its proper divisors (676884720812).

39375763050121 is an frugal number, since it uses more digits than its factorization.

39375763050121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 52.

The spelling of 39375763050121 in words is "thirty-nine trillion, three hundred seventy-five billion, seven hundred sixty-three million, fifty thousand, one hundred twenty-one".