352751657041 has 135 divisors (see below), whose sum is σ = 472199871003. Its totient is φ = 263419390080.

The previous prime is 352751657023. The next prime is 352751657051. The reversal of 352751657041 is 140756157253.

The square root of 352751657041 is 593929.

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., 274633643025 + 78118014016 = 524055^2 + 279496^2 .

It is not a de Polignac number, because 352751657041 - 2¹¹ = 352751654993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 352751656982 and 352751657000.

It is not an unprimeable number, because it can be changed into a prime (352751657051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11379085696 + ... + 11379085726.

Almost surely, 2^352751657041 is an apocalyptic number.

352751657041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

352751657041 is the 593929-th square number.

352751657041 is the 296965-th centered octagonal number.

It is an amenable number.

352751657041 is a deficient number, since it is larger than the sum of its proper divisors (119448213962).

352751657041 is an frugal number, since it uses more digits than its factorization.

352751657041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 46.

The spelling of 352751657041 in words is "three hundred fifty-two billion, seven hundred fifty-one million, six hundred fifty-seven thousand, forty-one".