1007538618241 has 4 divisors (see below), whose sum is σ = 1007540734000. Its totient is φ = 1007536502484.

The previous prime is 1007538618239. The next prime is 1007538618257. The reversal of 1007538618241 is 1428168357001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1007538618241 - 2¹ = 1007538618239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1007538618191 and 1007538618200.

It is not an unprimeable number, because it can be changed into a prime (1007538618221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27910 + ... + 1419808.

It is an arithmetic number, because the mean of its divisors is an integer number (251885183500).

Almost surely, 2^{1007538618241} is an apocalyptic number.

It is an amenable number.

1007538618241 is a deficient number, since it is larger than the sum of its proper divisors (2115759).

1007538618241 is an equidigital number, since it uses as much as digits as its factorization.

1007538618241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115758.

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 1007538618241 in words is "one trillion, seven billion, five hundred thirty-eight million, six hundred eighteen thousand, two hundred forty-one".