497951801649 has 27 divisors (see below), whose sum is σ = 745013010859. Its totient is φ = 320481183120.

The previous prime is 497951801603. The next prime is 497951801653. The reversal of 497951801649 is 946108159794.

The square root of 497951801649 is 705657.

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

497951801649 is a `hidden beast` number, since 4 + 9 + 79 + 518 + 0 + 1 + 6 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 261113846049 + 236837955600 = 510993^2 + 486660^2 .

It is not a de Polignac number, because 497951801649 - 2³¹ = 495804318001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (497951811649) by changing a digit.

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, 61388104 + ... + 61396214.

Almost surely, 2^497951801649 is an apocalyptic number.

497951801649 is the 705657-th square number.

497951801649 is the 352829-th centered octagonal number.

It is an amenable number.

497951801649 is a deficient number, since it is larger than the sum of its proper divisors (247061209210).

497951801649 is an frugal number, since it uses more digits than its factorization.

497951801649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16286 (or 8143 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

It can be divided in two parts, 497951 and 801649, that added together give a square (1299600 = 1140²).

The spelling of 497951801649 in words is "four hundred ninety-seven billion, nine hundred fifty-one million, eight hundred one thousand, six hundred forty-nine".